Probability

GCSE Maths: Tree Diagrams

Practise GCSE Maths tree diagrams for combined events, with and without replacement, and conditional probability. AQA, Edexcel and OCR.

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Key Concepts in Tree Diagrams

  • Drawing tree diagrams
  • Multiplying along branches
  • Adding outcomes between branches
  • With and without replacement
  • Conditional probability from tree diagrams

Exam Tips for Tree Diagrams

  • ๐Ÿ’กProbabilities along each set of branches must sum to 1
  • ๐Ÿ’กMultiply along branches for "and" (both events occur)
  • ๐Ÿ’กAdd results of different branches for "or" (either path leads to the outcome)

Exam Board Coverage

Tree Diagrams appears on all major GCSE Maths exam boards at both Foundation and Higher tier.

AQA
Edexcel
OCR

Frequently Asked Questions

What is the difference between with and without replacement?

With replacement: the item is put back, so probabilities stay the same for each draw. Without replacement: the item is not returned, so the total decreases and probabilities change.